Atkin-Lehner |
2- 3- 5+ 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
73530z |
Isogeny class |
Conductor |
73530 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-1488982500 = -1 · 22 · 36 · 54 · 19 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 4 -6 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-203,-2113] |
[a1,a2,a3,a4,a6] |
Generators |
[123:1288:1] |
Generators of the group modulo torsion |
j |
-1263214441/2042500 |
j-invariant |
L |
8.7675088128522 |
L(r)(E,1)/r! |
Ω |
0.59903914653587 |
Real period |
R |
1.8294941291057 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999221 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8170b1 |
Quadratic twists by: -3 |